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Answer: Determine whether the given (2 × 3) system of

Chapter 1, Problem 18E

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QUESTION:

Determine whether the given (2 × 3) system of linear equations represents coincident planes (that is, the same plane), two parallel planes, or two planes whose intersection is a line. In the latter case, give the parametric equations for the line; that is, give equations of the form x = at + b, y = ct + d, z = et + f. x1 + 3x2 – 2x3 = -1 2x1 + 6x2 – 4x3 = -2

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QUESTION:

Determine whether the given (2 × 3) system of linear equations represents coincident planes (that is, the same plane), two parallel planes, or two planes whose intersection is a line. In the latter case, give the parametric equations for the line; that is, give equations of the form x = at + b, y = ct + d, z = et + f. x1 + 3x2 – 2x3 = -1 2x1 + 6x2 – 4x3 = -2

ANSWER:

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The given system of linear equations

We need to determine whether the given system of linear equations represents coincident planes, two parallel planes, or two planes whose intersection is a line.

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